diff --git a/Dockerfile b/Dockerfile
index 6704dd080..f11e7c6ee 100644
--- a/Dockerfile
+++ b/Dockerfile
@@ -8,9 +8,15 @@ WORKDIR /src
 RUN go env -w GOCACHE=/go/.cache; \
     go env -w GOMODCACHE=/go/pkg/mod
 
+# We previously used --mount=type=bind in the next RUN command
+# (see https://docs.docker.com/build/guide/mounts/#add-bind-mounts)
+# but this did not work with SELinux volumes and Docker, as only
+# Podman supports the relabel=shared option
+# (see https://docs.podman.io/en/v4.4/markdown/options/mount.html).
+# This adds a layer but works with Docker and Podman.
+COPY go.mod go.sum ./
+
 RUN --mount=type=cache,target=/go/pkg/mod/ \
-     --mount=type=bind,source=go.sum,target=go.sum \
-     --mount=type=bind,source=go.mod,target=go.mod \
       go mod download -x
 
 COPY . ./
diff --git a/Makefile b/Makefile
index d60a76627..30b924268 100644
--- a/Makefile
+++ b/Makefile
@@ -497,12 +497,12 @@ docker/login: docker/login/fleet-manager
 .PHONY: docker/login
 
 docker/login/fleet-manager:
-	@docker logout quay.io
+	$(DOCKER) logout quay.io || true  # Swallog podman error if not logged in
 	@DOCKER_CONFIG=${DOCKER_CONFIG} $(DOCKER) login -u "${QUAY_USER}" --password-stdin <<< "${QUAY_TOKEN}" quay.io
 .PHONY: docker/login/fleet-manager
 
 docker/login/probe:
-	@docker logout quay.io
+	$(DOCKER) logout quay.io || true  # Swallow podman error if not logged in
 	@DOCKER_CONFIG=${DOCKER_CONFIG} $(DOCKER) login -u "${QUAY_PROBE_USER}" --password-stdin <<< "${QUAY_PROBE_TOKEN}" quay.io
 .PHONY: docker/login/probe
 
@@ -563,7 +563,7 @@ image/push: image/push/fleet-manager image/push/probe
 
 image/push/fleet-manager: IMAGE_REF="$(external_image_registry)/$(image_repository):$(image_tag)"
 image/push/fleet-manager:
-	DOCKER_CONFIG=${DOCKER_CONFIG} $(DOCKER) buildx build -t $(IMAGE_REF) --platform $(IMAGE_PLATFORM) --push .
+	DOCKER_CONFIG=${DOCKER_CONFIG} $(DOCKER) buildx build -t $(IMAGE_REF) --platform $(IMAGE_PLATFORM) --output=type=registry .
 	@echo
 	@echo "Image was pushed as $(IMAGE_REF). You might want to"
 	@echo "export FLEET_MANAGER_IMAGE=$(IMAGE_REF)"
@@ -579,7 +579,7 @@ image/push/probe: image/build/probe
 # push the image to the OpenShift internal registry
 image/push/internal: IMAGE_TAG ?= $(image_tag)
 image/push/internal: docker/login/internal
-	$(DOCKER) buildx build -t "$(shell oc get route default-route -n openshift-image-registry -o jsonpath="{.spec.host}")/$(NAMESPACE)/$(IMAGE_NAME):$(IMAGE_TAG)" --platform linux/amd64 --push .
+	$(DOCKER) buildx build -t "$(shell oc get route default-route -n openshift-image-registry -o jsonpath="{.spec.host}")/$(NAMESPACE)/$(IMAGE_NAME):$(IMAGE_TAG)" --platform linux/amd64 --output=type=registry .
 .PHONY: image/push/internal
 
 image/build/fleetshard-operator: IMAGE_REF="$(external_image_registry)/fleetshard-operator:$(image_tag)"
diff --git a/build_push_app_interface.sh b/build_push_app_interface.sh
index 72eb10863..585867fcc 100755
--- a/build_push_app_interface.sh
+++ b/build_push_app_interface.sh
@@ -41,6 +41,7 @@ source ./scripts/build_setup.sh
 # Push the image:
 echo "Quay.io user and token is set, will push images to $IMAGE_REPOSITORY"
 make \
+  DOCKER=podman \
   DOCKER_CONFIG="${DOCKER_CONFIG}" \
   QUAY_USER="${QUAY_USER}" \
   QUAY_TOKEN="${QUAY_TOKEN}" \
@@ -51,6 +52,7 @@ make \
   image/push/fleet-manager
 
 make \
+  DOCKER=podman \
   DOCKER_CONFIG="${DOCKER_CONFIG}" \
   QUAY_USER="${QUAY_USER}" \
   QUAY_TOKEN="${QUAY_TOKEN}" \
@@ -62,6 +64,7 @@ make \
   image/push/fleet-manager
 
 make \
+  DOCKER=podman \
   DOCKER_CONFIG="${DOCKER_CONFIG}" \
   QUAY_PROBE_USER="${QUAY_USER}" \
   QUAY_PROBE_TOKEN="${QUAY_TOKEN}" \
@@ -72,6 +75,7 @@ make \
   image/push/probe
 
 make \
+  DOCKER=podman \
   DOCKER_CONFIG="${DOCKER_CONFIG}" \
   QUAY_PROBE_USER="${QUAY_USER}" \
   QUAY_PROBE_TOKEN="${QUAY_TOKEN}" \
@@ -83,6 +87,7 @@ make \
   image/push/probe
 
 make \
+  DOCKER=podman \
   DOCKER_CONFIG="${DOCKER_CONFIG}" \
   QUAY_USER="${QUAY_USER}" \
   QUAY_TOKEN="${QUAY_TOKEN}" \
@@ -93,6 +98,7 @@ make \
   image/push/emailsender
 
 make \
+  DOCKER=podman \
   DOCKER_CONFIG="${DOCKER_CONFIG}" \
   QUAY_USER="${QUAY_USER}" \
   QUAY_TOKEN="${QUAY_TOKEN}" \
@@ -102,3 +108,4 @@ make \
   emailsender_image_repository="${EMAILSENDER_IMAGE_REPOSITORY}" \
   docker/login/fleet-manager \
   image/push/emailsender
+